Theoretical limits, legacies, and prospects: Legacy, limitations, and prospects in view of strongly correlated Hamiltonians, including the Fermi-Hubbard model - Via optical lattices and cold atoms

摘要

Ultracold matter already has greatly impacted our understanding of strongly correlated quantum matter, as mentioned in Sec. I (2.2). As a still-young and expanding field, it is too soon to write its "legacy," and as a broad field it is not possible to even survey the full landscape of results. Instead, we will focus attention on a line of research that uses repulsive fermionic atoms in optical lattices to realize the repulsive Fermi-Hubbard model. Even though this represents a tiny fraction of the exciting frontier of quantum simulation in ultracold matter research, it provides an illustrative example of the character of much research in ultracold systems into strongly correlated matter. We provide a sketch here, with more detail given in Sec. II - Technical Addendum.